A discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameter

作者：Zheng, Zhaowen^*; Cai, Jinming; Li, Kun; Zhang, Maozhu

来源：Boundary Value Problems, 2018, 2018(1): 103.

DOI：10.1186/s13661-018-1023-x

• Sturm-Liouville problem
• Eigenparameter dependent boundary condition
• Transmission condition
• Asymptotic formulae of eigenvalue and eigenfunction
• Completeness

The present paper deals with a class of discontinuous Sturm-Liouville problems with boundary conditions rationally dependent on the eigenparameter. Operator formulation is built and asymptotic formulas for eigenvalues and eigenfunctions are given. Moreover, the completeness of its eigenfunctions is also discussed.

• 出版日期2018-7-4
• 单位曲阜师范大学; 泰山学院